how to do this division question

Question

x³+5x²-29x-105 by x+3 

Answer 1

(x³+5x²-29x-105)/(x+3)

 

Synthetic division ... root at x=-3

 

-3 |  1    5    -29    -105

    |       -3      -6    105

    ------------------------------

       1     2    -35   | 0   remainder is zero

                            -------

 

(x³ +5x² - 29x - 105)/(x+3) = (x² + 2x -35)